Answer:
The correct option is 4.
Step-by-step explanation:
It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.
Let the total number employees be e.
Three fourth of the total employees is 
, the total number of employees at the meeting were less than 24.
Multiply 4 both sides.
Divide both sides by 3.
Therefore the value of e is less than 32.
In a number line as we approach towards left the the value of integers decreases.
Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.
Since 32 is not included in the solution set, therefore there is an open circle on 32.
Option 4 is correct.
Answer:
Step-by-step explanation:
step 1
Find out the slope WX
W(2,-3) and X(-4,9)
m=(9+3)/(-4-2)
m=12/-6
m=-2
step 2
Find out the slope YZ
Y(5,y) and Z(-1,1)
m=(1-y)/(-1-5)
m=(1-y)/-6
m=(y-1)/6
step 3
Remember that
If two lines are perpendicular
then
their slopes are negative reciprocal
that means
(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2
solve for y
2y-2=6
2y=6+2
2y=8
<h2>y=4</h2>
0.888=8/9; therefore the contstant of proportionality or k is (8/9,1)
Perimeter of rectangle = 2( length +width)
given: Perimeter=60 ft and width=20 ft
plugging these values in the formula,
60=2(20+ length)
dividing both sides by 2
30=20+length
length =30-20=10
length is 10 feet
width is 20 feet
Area of rectangle is given by:
Area = l*w
Area = 10 *20 = 200 square feet
Answer : Area of rectangle is 200 square feet.
